A Holographic Interpretation of Asymptotically de Sitter Spacetimes

Abstract

One of the remarkable outcomes of the AdS/CFT correspondence has been the generalization of Cardy's entropy formula for arbitrary dimensionality, as well as a variety of anti-de Sitter scenarios. More recently, related work has been done in the realm of asymptotically de Sitter backgrounds. Such studies presume a well-defined dS/CFT duality, which has not yet attained the credibility of its AdS analogue. In this paper, we derive and interpret generalized forms of the Cardy entropy for a selection of asymptotically de Sitter spacetimes. These include the Schwarzschild-de Sitter black hole (as a review of hep-th/0112093), the Reissner-Nordstrom-de Sitter black hole and a special class of topological de Sitter solutions. Each of these cases is found to have interesting implications in the context of the proposed correspondence.

23 page, Latex; references added and some discussion (but no equations) modified

References in corpus (8)

• The dS/CFT Correspondence
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• CFT and Entropy on the Brane
• Deconstructing de Sitter
• Conformal anomaly from dS/CFT correspondence
• Cardy-Verlinde Formula and AdS Black Holes
• Gravitational energy, dS/CFT correspondence and cosmic no-hair
• Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula

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• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• The Cardy-Verlinde formula and entropy of Topological Reissner-Nordström black holes in de Sitter spaces
• The Cardy-Verlinde formula and entropy of Topological Kerr-Newman black holes in de Sitter spaces
• Holographic Thermodynamic on the Brane in Topological Reissner-Nordström de Sitter Space
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• Strings and the Holographic Description of Asymptotically de Sitter Spaces
• Stringy Instability of Topologically Non-Trivial Ads Black Holes and of desitter S-Brane Spacetimes
• Thermodynamics of a collapsing shell in an expanding Universe
• Dwelling on de Sitter
• Virasoro generators and the dS_3/CFT_2 correspondence